Ali Mohammadi

activity

20172026

most citedOn the constant roll complex scalar field inflationary models

10 citations · 19 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.CO2018★ 1 cited

Szemerédi-Trotter type results in arbitrary finite fields

Ali Mohammadi

Let $q$ be a power of a prime and $F_{q}$ the finite field consisting of $q$ elements. We prove explicit upper bounds on the number of incidences between lines and Cartesian…

math.NT2018

On growth of the set $A (A + 1)$ in arbitrary finite fields

Ali Mohammadi

Let $F_{q}$ be a finite field of order $q$ , where $q$ is a power of a prime. For a set $A \subset F_{q}$ , under certain structural restrictions, we prove a new explic…

math.CO2018★ 2 cited

A new sum-product estimate in prime fields

Changhao Chen, Bryce Kerr, Ali Mohammadi

In this paper we obtain a new sum-product estimate in prime fields. In particular, we show that if $A \subseteq F_{p}$ satisfies $∣ A ∣ \leq p^{64/117}$ then $$ \max\{|A\pm A|, |…

math.NT2018

Points on polynomial curves in small boxes modulo an integer

Bryce Kerr, Ali Mohammadi

Given an integer $q$ and a polynomial $f \in Z_{q} [X]$ of degree $d$ with coefficients in the residue ring $Z_{q} = Z / q Z,$ we obtain new results concerni…

Szemerédi-Trotter type results in arbitrary finite fields

On growth of the set A(A+1) in arbitrary finite fields

A new sum-product estimate in prime fields

Points on polynomial curves in small boxes modulo an integer

On growth of the set $A (A + 1)$ in arbitrary finite fields